Consider the following system of equations: 10 + y = 5x + x2 5x + y = 1 The first equation is an equation of a . The second equation is an equation of a .

Answer: The first equation is an equation of a parabola. The second equation is an equation of a line.Explanation:The first equation is,[tex]10+y=5x+x^2[/tex]In this equation the degree of y is 1 and the degree of x is 2. The degree of both variables are not same. Since the coefficients of y and higher degree of x is positive, therefore it is a graph of an upward parabola.The second equation is,[tex]5x+y=1[/tex]In this equation the degree of x is 1 and the degree of y is 1. The degree of both variables are same. Since both variables have same degree which is 1, therefore it is linear equation and it forms a line.Therefore, the first equation is an equation of a parabola. The second equation is an equation of a line.